摘 要:分析了新型圆锥曲线图规(椭圆规、双曲线规和抛物线规)设计的数学#br# 原理,利用圆锥曲线的光学性质和几何性质提出了一套图规设计的基本理论,基于这套理论#br# 设计出一种新型的、由多个简单连杆型机构零件组合而成的圆锥曲线图规;应用这种组合图#br# 规可以规范、快速地绘制出各种工程上常见的二次曲线,弥补了工程制图中一般绘图仪器功#br# 能单一的缺点,有较好的应用前景。#br# 关 键 词:工程制图;圆锥曲线;几何性质;图规仪器
Abstract: Through analyzing mathematical principles of designing the conical curve gauge#br# (ellipse gauge, hyperbola gauge and parabola gauge), a set of design theory is put forward based#br# on the optical and geometric properties of conical curve. By applying this theory, a new type of#br# conical curve gauge is designed, which is composed of multiple simple linkage mechanical parts#br# assembly, and which can help quickly draw various normative conical curves common in#br# engineering. It makes up for the disadvantage that the function of general engineering drawing#br# instrument is single and has a good prospect of application.#br# Key words: engineering drawing; conic curve; geometrical properties; compasses instrument
摘要: 分析了新型圆锥曲线图规(椭圆规、双曲线规和抛物线规)设计的数学
原理,利用圆锥曲线的光学性质和几何性质提出了一套图规设计的基本理论,基于这套理论
设计出一种新型的、由多个简单连杆型机构零件组合而成的圆锥曲线图规;应用这种组合图
规可以规范、快速地绘制出各种工程上常见的二次曲线,弥补了工程制图中一般绘图仪器功
能单一的缺点,有较好的应用前景。